Question

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 10 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed.
Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has increased at a significance level of α=0.05.
If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.
Round answers to 4 decimal places.

For the context of this problem, μd=μAfter - μμ_Before,
where the first data set represents "after" and the second data set represents "before".
      Ho:μd=0
      Ha:μd>0

This is the sample data:

After	Before
67.9	55.5
73.4	48.8
51.4	53.9
60.1	58
75.4	55.3
66.8	56.9
80	48
53.7	55.5
41	49.1
49.4	51.9

1. What is the mean difference for this sample?  
Mean difference = ______

2. What is the test statistic for this sample?  
Test statistic = ______

3. What is the P-value for this test?  
P-value = ______

4. This P-value leads to a decision to... ______

a) fail to reject the null

b) reject the null

c) reject the claim

d) accept the null

5. As such, the final conclusion is that... ______

a) There is not sufficient evidence to support the claim that the time to complete the task has increased.

b) There is sufficient evidence to support the claim that the time to complete the task has increased.

Answer 1